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Finding the Third Proportional to 1,021,124 and 1,430,937

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Solution

The third proportional to 1,021,124 and 1,430,937 is: 2,005,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,124 : 1,430,937 = 1,430,937 : x
  2. Step 2: Convert to fraction form
    1,021,124/1,430,937 = 1,430,937/x
  3. Step 3: Cross multiply
    1,021,124x = 1,430,937 × 1,430,937
  4. Step 4: Simplify right side
    1,021,124x = 2,047,580,697,969
  5. Step 5: Solve for x
    x = 2,047,580,697,969/1,021,124
  6. Step 6: Final answer
    x = 2,005,222.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.